2(2n-4)=(6n+8)+9

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Solution for 2(2n-4)=(6n+8)+9 equation:


Simplifying
2(2n + -4) = (6n + 8) + 9

Reorder the terms:
2(-4 + 2n) = (6n + 8) + 9
(-4 * 2 + 2n * 2) = (6n + 8) + 9
(-8 + 4n) = (6n + 8) + 9

Reorder the terms:
-8 + 4n = (8 + 6n) + 9

Remove parenthesis around (8 + 6n)
-8 + 4n = 8 + 6n + 9

Reorder the terms:
-8 + 4n = 8 + 9 + 6n

Combine like terms: 8 + 9 = 17
-8 + 4n = 17 + 6n

Solving
-8 + 4n = 17 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
-8 + 4n + -6n = 17 + 6n + -6n

Combine like terms: 4n + -6n = -2n
-8 + -2n = 17 + 6n + -6n

Combine like terms: 6n + -6n = 0
-8 + -2n = 17 + 0
-8 + -2n = 17

Add '8' to each side of the equation.
-8 + 8 + -2n = 17 + 8

Combine like terms: -8 + 8 = 0
0 + -2n = 17 + 8
-2n = 17 + 8

Combine like terms: 17 + 8 = 25
-2n = 25

Divide each side by '-2'.
n = -12.5

Simplifying
n = -12.5

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